When x x\,x is small, show that tan(3x)cos(2x)\tan(3x) \cos(2x)tan(3x)cos(2x) can be approximated by 3x−6x33x - 6x^33x−6x3
Hence, approximate the value of tan(0.3)cos(0.2)\tan(0.3) \cos(0.2)tan(0.3)cos(0.2)
Calculate the percentage error in your approximation
Practise Edexcel A Level Maths 5.5 Small Angle Approximations with exam-style questions for A Level Maths. 25 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.